What is the Greatest Common Factor of 98565 and 98577?

Greatest common factor (GCF) of 98565 and 98577 is 3.

GCF(98565,98577) = 3

We will now calculate the prime factors of 98565 and 98577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98565 and 98577.

How to find the GCF of 98565 and 98577?

We will first find the prime factorization of 98565 and 98577. After we will calculate the factors of 98565 and 98577 and find the biggest common factor number .

Step-1: Prime Factorization of 98565

Prime factors of 98565 are 3, 5, 6571. Prime factorization of 98565 in exponential form is:

98565 = 3¹ × 5¹ × 6571¹

Step-2: Prime Factorization of 98577

Prime factors of 98577 are 3, 1217. Prime factorization of 98577 in exponential form is:

98577 = 3⁴ × 1217¹

Step-3: Factors of 98565

List of positive integer factors of 98565 that divides 98565 without a remainder.

1, 3, 5, 15, 6571, 19713, 32855

Step-4: Factors of 98577

List of positive integer factors of 98577 that divides 98565 without a remainder.

1, 3, 9, 27, 81, 1217, 3651, 10953, 32859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98565 and 98577. The biggest common factor number is the GCF number.
So the greatest common factor 98565 and 98577 is 3.

Also check out the Least Common Multiple of 98565 and 98577